56134221454080 has 2016 divisors, whose sum is σ = 257200109591040. Its totient is φ = 11392365035520.

The previous prime is 56134221454057. The next prime is 56134221454153. The reversal of 56134221454080 is 8045412243165.

56134221454080 is a `hidden beast` number, since 5 + 6 + 1 + 3 + 4 + 2 + 21 + 4 + 540 + 80 = 666.

56134221454080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×56134221454080³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3089551236 + ... + 3089569404.

It is an arithmetic number, because the mean of its divisors is an integer number (127579419440).

Almost surely, 2^{56134221454080} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56134221454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128600054795520).

56134221454080 is an abundant number, since it is smaller than the sum of its proper divisors (201065888136960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56134221454080 is a wasteful number, since it uses less digits than its factorization.

56134221454080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18269 (or 18240 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 56134221454080 in words is "fifty-six trillion, one hundred thirty-four billion, two hundred twenty-one million, four hundred fifty-four thousand, eighty".